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If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar.
Euclid's Elements of Geometry: The First Six, the Eleventh and Twelfth Books - Seite 247
von Euclid - 1765 - 464 Seiten
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The Dublin University Calendar, Band 1

Trinity College (Dublin, Ireland) - 1911 - 614 Seiten
...equal angles proportionals, the triangles are equiangular. 10. Prove that equal parallelograms which have one angle of the one equal to one angle of the other have their sides about the equal angles reciprocally proportional. ALGEBRA AMD ARITHMETIC. MR. WEBB....
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The Teaching of Mathematics in the United Kingdom

Great Britain. Board of Education - 1912 - 632 Seiten
...internally, the straight line through their centres passes through the point of contaot. 10. Prove that if two triangles have one angle of the one equal to one angle of the other, and the aides about these angles proportional, the triangles are similar. Prove that if the two triangles ABC,...
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The Calendar

University of South Africa - 1913 - 768 Seiten
...equiangular, their corresponding sides are proportional, and conversely. Definition of similar triangles. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, the triangles are similar. The internal and external bisectors...
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Report of the Secretary for Public Instruction ...

Queensland. Department of Public Instruction - 1913 - 274 Seiten
...side. 9. Show how to construct a regular pentagon upon a given finite straight line. 10. Prove that if two triangles have one angle of the one equal to one angle of the other tod the sides about those angles proportional the triangles will be similar. 11. Show how to divide...
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Calendar, Teil 4

University of Calcutta - 1913 - 816 Seiten
...touching the first one at A and also 6 touching the line EC. NB — Required, the constructions only. 8. If two triangles have one angle of the one equal to one angle 7 of the other, and the sides about these equal angles proportional, prove that the triangles are similar....
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Regulations

University of Calcutta - 1914 - 430 Seiten
...converse. If two triangles are equiangular, their corresponding sides are proportional ; and the converse. If two triangles have one angle of the one equal to one angle of the other, and the sides about these equal angles proportional, the triangles are similar. If a polygon is divided into...
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Calendar, Teil 3

University of Calcutta - 1914 - 822 Seiten
...is required.) (b) Prove that each side is bisected at its point of contact 7 with the circle. 8. (a) If two triangles have one angle of the one equal to one 8 angle of the other, and the sides about these equal angles proportional, the triangles are similar....
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Journal of Education

1914 - 914 Seiten
...thru which they pass. 5. Divide a given straight line internally and externally in a given ratio. 6. If two triangles have one angle of the one equal to one angfe of the other, their areas are proportional to the rectangles contained by the sides about the...
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Mathematics in the Lower and Middle Commercial and ..., Ausgaben 34-42

Edson Homer Taylor - 1915 - 552 Seiten
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. The internal bisector of an...
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Bulletin, Ausgaben 38-46

1915 - 906 Seiten
...converse. If two triangles are equiangular their corresponding sides are proportional; and the converse. If two triangles have one angle of the one equal to one angle of the other and the sides about these equal angles proportional, the triangles are similar. The internal bisector of an...
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